1 meter = 100 cm
Convert the dimensions of the room to cm:
30m x 100 = 3000 cm
24 m x 100 = 2400 cm
Area of floor = 3000 x 2400 = 7,200,000 square cm
Find number of tiles by dividing area of room by area of a tile:
7,200,00 / 9000 = 800
They will need 800 tiles
800 tiles / 10 tiles per carton = 80
They will need 80 cartons
Can someone help me with this math homework please!
Given:
The sequence is:
-3, 5, -7, 9, -11,...
To find:
The correct statement about the given sequence.
Solution:
We have,
-3, 5, -7, 9, -11,...
Here, "..." means there are more terms in the sequence. So, the sequence has more than 5 terms and option A is incorrect.
From the given sequence it is clear that the 4th term is 9. So, option B is correct.
Clearly, 5th terms is -11. So, [tex]f(5)=-11[/tex] and option C is incorrect.
The domain of a sequence is always the set of natural numbers. So, option D is correct.
In the given sequence the 4th term is 9. It means the point (4,9) lies on the graph of the sequence. So, option E is correct.
Therefore, the correct options are B, D, E.
Completing the Square
2. Solve the equation by completing the square. Show your work.
x2 – 30x = –125
Step 1: Add (b/2)^2 to both sides of the equation. (2 points)
Step 2: Factor the left side of the equation. Show your work. (2 points)
Hint: It is a perfect square trinomial.
Step 3: Take the square root of both sides of the equation from Step 2. (1 point)
Step 4: Simplify the radical and solve for x. Show your work. (1 point)
Answer:
See below
Step-by-step explanation:
Step 1
x^2 – 30x = –125
-30/2 = -15
(-15)^2 = 225
Step 2
x^2 -30x+225 = -125+225
(x-15)^2 = 100
Step 3
Take the square root of each side
sqrt((x-15)^2) = sqrt(100)
Step 4
x-15 = ±10
x-15 =10 x-15 = -10
x= 10+15 x = -10 +15
x = 25 x = 5
Can you use the SSS Postulate to prove QPS≈QRS?
by SAS only
by SSS only
both apply
neither apply
Answer:
by SAS only
Step-by-step explanation:
based on the diagram we only have one side and one angle explicitly identified as equivalent.
but we have an implicit confirmation of the second side QS to the enclosed angle, because the triangles are presented that this side is the same for both triangles.
so, SAS applies (but no other, as we don't have any information on the 3rd side).
Find XY given the base?
Answer:
XY = 12
Step-by-step explanation:
The midsegment XY is half the length of the base CE , that is
XY = [tex]\frac{1}{2}[/tex] × 24 = 12
Graph the following equations by plotting 3 points and then connecting the points to form a line. Show your work to find the 3 points and then list the ordered pairs you used as part of your answer.
Answer:
The way I would tackle these types of problems would be to make a table, then graph the points using the results I get.
Step-by-step explanation:
So explaining the table is kinda hard since I suck at explaining, so I've attached a file showing the table I've made for number 1.
First Step:
Make the table. Make it a 3x4 table. For the top row, put y, the equation (I put 'y=2x' as shown in number 1), then x. Then for the left column, go down by one box, then put: -1, 0, 1. Really, you can put any numbers, but to make it easy for yourself, just write the numbers I've listed. These will be your y-values you'll be substituting.
Second Step:
a.) Plugging in the numbers. For the middle column, I've put down y=2x in each box, as shown in my table. Then for each of those boxes, plug in the numbers to the left of them and substitute them for the y-value. For example, look at the second row. The left box has '-1', so I replaced the 'y' in the equation and got '(-1)=2x'.
b.) After substituting the y-values, solve for x. For this case, you'll need to divide both sides by 2. If it doesn't make much sense, think about a seesaw. If you have 5 pounds on both sides, the seesaw will stay balanced. Add an additional 5 pounds to one side, then the seesaw will start tipping towards the heavier sides. So in order to keep an equation balanced, you must do any action to both sides of the equation. After diving both sides by 2, you'll get the value for x.
Final Step:
After finding the x-values for each of the y-values, it's time to graph the equations. Remember, x is left to right and y is down to up. To graph them, let's use the second row for example. y=-1 and x=-0.5. So all you need to do is to start from the origin (0,0), then go half a unit to the left, as x is negative, then go a unit down, as y is negative, then make a point. The rest should be pretty straight forward.
After making all three points, just get a ruler or any straight edge, then align it along those three points, then just make a line, and boom! You've solved number 1! For the purpose of saving my time, I'm pretty sure you can solve the rest using what I've just told you. Good luck!
Rob is saving to buy a new MP3 player. For every $14 he earns babysitting, he saves $6. On
Saturday, Rob earned $56 babysitting. How much money did he save?
If he earned $56, he saved sli
Answer:
Rob has saved $24.
Step-by-step explanation:
The first thing I noticed was that Rob only saved some of the money he earned. That means only x% only gets saved. To find x, I simply divided 6 by 14 and got 0.42857142857. Then to find the amount he saved from earning $56, I multiplied that number with 56 and got 24.
The cost price of an electric fan is Rs. 2800. If the shopkeeper marks its price 30℅ above the cost price and sells it at 10℅ discount, how much should a customer pay for it with 15℅ VAT?
Answer:
The customer will pay along with VAT = Rs 3767.4
Step-by-step explanation:
Cost price of an electric fan = 2800
Pirce after 30% above the cost price = 2800 + (30% of 2800 = 3640
Selling price after 10% discount = 3640 - (10% of 3640) = 3276
Now 15% VAT = 3276 x 15%
15% VAT = 491.4
The customer will pay along with VAT = 3276 + 491.4
The customer will pay along with VAT = Rs 3767.4
Which of the following represents x = 1/3y written in general form?
3x - y = 0
X-1/3y=0
1/3x-y=0
Answer:
x-⅓y=0
Step-by-step explanation:
thats the answer
brainly please
Answer: 3x-y=0
Step-by-step explanation:
X = 1/3y
X × 3 = 1/3 y × 3
3x = y
3x - y = y- y
3x- y = 0
A man earned $3000 the first year he worked. If he received a raise of $600 at the end of each year, what was his salary during the 15th year?
A) $8400
B) None of these
C) $11,400
D) $12,000
Answer:
$11,400
Step-by-step explanation:
3,000+14(600)=11,400
We know that it expands by $600 a year and we are looking for the salary during the 15th year. During the 15th year, it could be using the salary of the 14th year since it is during not after. We then add that to the base salary of $3,000 so then we have $11,400.
please help me (geometry)
Answer:
True
Step-by-step explanation:
When two lines are parallel, the corresponding angles formed by the transversal (intersecting line) are congruent. This is called the corresponding angles postulate. It can be used in reverse: if two corresponding angles are congruent, then the non-transversal lines are parallel.
Answer:
Step-by-step explanation:
Angles 4 and 5 are corresponding; this means that they are sitting in the same places within their angle "bunch" for lack of a better word. We are then told that they are are congruent which means that they have the exact same measure. Corresponding angles can exist without being congruent, but because they are, that means that A and B HAVE to be parallel. So true.
Rate of Change: Based on the equation determine the rate of change by looking at the coefficients.
Hint: Remember: y=mx+b (m=slope)
1. y=-x+ 3
2. y=3x-1
3. y= 8 + x2
Answer:
1) -1
2) 3
3) 2
Using the given image and congruency markings ,type in the triangle that is congruent with the given triangle below.
Answer:
GHI is congruent to HGW
Step-by-step explanation:
Which of the following is not a property of quadrilaterals?
A.
There are four sides.
B.
There are four diagonals.
C.
There are four vertices.
D.
The measures of the interior angles add up to 360 degrees
Please select the best answer from the choices provided
Answer:
The correct answer for this question is letter "(B) There are four diagonals." It is not a property of quadrilaterals.
Answer:
b
it has 2 diagonals crossing each other
what is the value of i^n if the remained of n/4 is 2
A. i
B. -i
C. -1
D. 1
Answer:
5
Step-by-step explanation:
Determine the axis of symmetry and the vertex of the given function.
The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .
What is the product? StartFraction 3 k Over k + 1 EndFraction times StartFraction k squared minus 1 Over 3 k cubed EndFraction StartFraction k + 1 Over k squared EndFraction StartFraction k minus 1 Over k squared EndFraction StartFraction negative 1 Over k EndFraction StartFraction 1 Over k EndFraction
Answer:
StartFraction negative 1 Over k cubed EndFraction
Step-by-step explanation:
3k / (k + 1) × (k²- 1) / 3k³
= 3k(k² - 1) / (k + 1)(3k³)
= 3k³ - 3k / 3k⁴ + 3k³
= -3k / 3k⁴
= -1/k³
StartFraction k + 1 Over k squared EndFraction
(k + 1) / k²
StartFraction k minus 1 Over k squared EndFraction
(k - 1)/k²
StartFraction negative 1 Over k cubed EndFraction
= -1/k³
StartFraction 1 Over k EndFraction
= 1/k
Answer:
B: k - 1 / k^2
Step-by-step explanation:
Find the roots of the quadratic equation 3x^2 - 6x + 2 = 0 using the quadratic formula.
Answer:
Here is your answer
Hope it helps....
ASAPPPPPPPPPPPPPPPPPPPPPPPPPP HELPPPPPPPPPPPPPPPPPPPPP PLEASEEEEEE
Answer:
- 3 / 10
Step-by-step explanation:
- 9 / 10 - ( - 3 / 5 )
= - 9 / 10 + 3 / 5
= 3 / 5 - 9 / 10
= 6 / 10 - 9 / 10
= ( 6 - 9 ) / 10
= - 3 / 10
What is the area of Figure ABCD? PLS HELP 50 POINTS PLSSSSSSSSSSSSSSSSSSSS
BEST ANSWER GET BRAINLY
Answer:
112 in^2
Step-by-step explanation:
First find the area of the rectangle
A = l*w = 14*7 =98
Then find the area of the triangle
A = 1/2 bh = 1/2 (18-14) *7 = 1/2 (4)*7 = 14
Add the areas together
98+14 =112
Hello!
[tex]\large\boxed{A = 112in^2}[/tex]
We can use the formula for the area of a trapezoid to solve:
A = 1/2(b1 + b2) · h
Thus:
A = 1/2(18 + 14) · 7
Simplify:
A = 1/2(32) · 7
A = 16 · 7
A = 112 in²
Instructions: Find the measure of the indicated angle to the nearest
degree
21
?
40
?=
Since this is a right triangle, we can use one of the three main trigonometric functions: sine, cosine, or tangent.
Remember: SOH-CAH-TOA
Looking from the angle, we know the opposite side and the hypotenuse. Therefore, we should use the sine function.
sin(x) = 21/40
x = sin^-1(21/40)
x = 32 degrees
Hope this helps!
The demand function for Widgets is given by the equation P = 14 – 0.39Q, and the supply function is
given by the equation P = 0.61Q + 12. Find the market equilibrium price for Widgets.
Answer:
Equilibrium price for widgets = 13.22
Step-by-step explanation:
At equilibrium, quantity demand, Qd = quantity supplied, Qs
Demand
P = 14 – 0.39Q
P - 14 = - 0.39Q
Q = (P - 14) / - 0.39
Supply
P = 0.61Q + 12
P - 12 = 0.61Q
Q = (P - 12) / 0.61
Qd = Qs
(P - 14) / - 0.39 = (P - 12) / 0.61
Cross product
(P - 14) * 0.61 = - 0.39 * (P - 12)
0.61P - 8.54 = - 0.39P + 4.68
0.61P + 0.39P = 4.68 + 8.54
P = 13.22
Check
Q = (P - 14) / - 0.39
= (13.22 - 14) / - 0.39
= -0.78 / -0.39
= 2
Q = (P - 12) / 0.61
= (13.22 - 12) / 0.61
= 1.22 / 0.61
= 2
Therefore,
Equilibrium price for widgets = 13.22
Equilibrium quantity = 2
Rose’s checking account has a balance of Negative 54 dollars. She makes no more withdrawals but deposits $15 per day in her account over the next five days. On the sixth day, she makes no deposits, but the bank charges a maintenance fee of $5. What is the balance in her account on the sixth day? $16 $26 $124 $134
Answer:
16
Step-by-step explanation:
Her account balance on the sixth day is sixteen. This is because -54 +75 is 21 then you subtract 5 and get 16. (15 times 5 is 75)
Answer:
16
Step-by-step explanation:
Starting balance: -54
Deposits +15
+15
+15
+15
+15
for a total of +75
-54+75 = 21
Maintenance fee: - 5
21 - 5 = 16
Solve for t. 4=1/2gt^2
Answer:
[tex]4=1/2gt^{2}[/tex]
Multiply equation by 2/g
4(2/g) = t²
t = √(8/g)
t = 2√(2/g)
[tex]answer:t=\sqrt{\frac{8}{g} }[/tex]
OAmalOHopeO
combine like terms and simplify (−3 + 4x2 − 4x) + (−1 − 3x2− 4)
Answer:
x² - 4x - 8
General Formulas and Concepts:
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
(-3 + 4x² - 4x) + (-1 - 3x² - 4)
Step 2: Simplify
Combine like terms (x²): x² - 3 - 4x - 1 - 4Combine like terms: x² - 4x - 863.89 X n = .6389 Solve for n *
A. 10
B. 100
C. .01
D. .1
Answer:
c. .01
Step-by-step explanation:
.6389 divided by 63.89
A) If {3,1,-1,-3} is the range of the function f(x) =2x+3/5, find its domain.
B) Which element in the range has pre-image 8 under the function of f:x->3x+1/5?
Answer:
64
Step-by-step explanation:
1=879=96889=
what is the eqution of the line through the orgin and (-2,3)
Answer:
Origin = (0, 0)
Gradient or slope:
[tex]{ \tt{slope = \frac{(0 - 3)}{(0 - ( - 2))} }} \\ { \tt{slope = - \frac{3}{2} }}[/tex]
General equation of line:
[tex]{ \bf{y = mx + c}}[/tex]
Consider the origin:
[tex]{ \tt{0 = ( - \frac{3}{2} \times 0) + c }} \\ c = 0[/tex]
Equation of line:
[tex]{ \tt{y = - \frac{3}{2}x }} \\ { \tt{2y = - 3x}}[/tex]
Answer:
-2y+3x=0
Step-by-step explanation:
Slop=(3-0)/(-2-0)=-3/2
(Y-Y1) =m(x-x1)
(y-3) =-3/2(x+2)
-2y+3x=0
Pls help me in this question
Answer:
3
Step-by-step explanation:
since the diagonal are equal in length
6x-8=2x+4
4x=12
x=3
Make d the subject h=d/3+2
Answer:
[tex]d = 3h - 6[/tex]
Step-by-step explanation:
Step 1: Solve for d
I am assuming that you are asking for me to solve for the variable d. Let me know if what I am doing is not what you want.
[tex]h = \frac{d}{3} + 2[/tex]
[tex]h - 2 = \frac{d}{3} + 2 - 2[/tex]
[tex](h - 2) * 3 = \frac{d}{3} * 3[/tex]
[tex]3h - 6 = d[/tex]
Answer: [tex]d = 3h - 6[/tex]
Use elimination to solve the system 4x + 7y = –14 and 8x + 5y = 8 for x. Round to the nearest tenth.
Answer:
X= 7/2
Step-by-step explanation:
Multiply first equation by -2 and second equation by 1
-2(4x+7y=-14)
1(8x+5y= 8)
= -8x -14y =28
8x+5y=8
Add these equations to eliminate X:
-9y=36
-9y/-9 = 36/-9
y=- 4
Plug in Y to find X
4x + 7y = -14
4x+7(-4) = -14
4x-28+28= -14+28
4x= 14
X= 7/2
Answered by Gauthmath
Answer: x=3 and 1/2
Step-by-step explanation: Happy to Help (0.<)
